The monograph deals with methods to determine mechanical properties and evaluate the flow curve
of ductile materials from the tensile test. It presents classical hypotheses concerning the
onset of neck creation as well as the state of the art in determining the mechanical properties
from the tensile test with emphasis on the consequences of the neck formation. It revises
derivations of formulae for the stress distribution in the minimal cross-section of the
axisymmetrical specimen in the classical approaches proposed by Bridgman Davidenkov-
Spiridonova and Siebel as well as in the less famous formulae derived by Szczepinski and
Malinin-Petrosjan. The revision is completed with solutions evaluated by the authors. In the
monograph the simplifying assumptions utilised in the classical approaches were carefully
verified by numerical simulations accompanied by theoretical analysis. Errors imposed in the
evaluation of the average axial stress acting on the minimal cross-section as a result of every
particular simplification are estimated. The accuracy of all formulae to evaluate the flow
curve is discussed. The significance of a high accurate determination can be seen in the
context of numerical simulation (e.g. finite element computations) where the total error and
accuracy is partly based on the accuracy of the material input.
